   Chapter 7.1, Problem 27E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Think About it The triangle in Exercise 23 is translated five units downward in the negative z-direction. Determine the coordinates of the translated triangle. ( 0 , 0 , 0 ) ,   ( 2 , 2 , 1 ) , ( 2 , − 4 , 4 )

To determine

The coordinates of the translated triangle if the five units downward in negative z-direction.

Explanation

Given information:

The vertices of the triangle are (0,0,0),(2,2,1) and (2,4,4). The triangle is translated five units downward in negative z-direction.

Consider the vertices of the triangle,

(0,0,0),(2,2,1) and (2,4,4)

According to the question, to translate each vertex five unit to downward in negative z-direction, subtract 5 to each z- coordinate.

So, vertices of the triangle is shown in the table,

 Original points Translated points (0,0,0) (0,0,0−5)=(0<

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